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The 'marriage game': An assignment problem with indivisibilities - MaRDI portal

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The 'marriage game': An assignment problem with indivisibilities (Q791450)

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scientific article; zbMATH DE number 3850861
Language Label Description Also known as
English
The 'marriage game': An assignment problem with indivisibilities
scientific article; zbMATH DE number 3850861

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    The 'marriage game': An assignment problem with indivisibilities (English)
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    1982
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    A problem is considered of the assignment of two types of objects in pairs of partners, when it is assumed that each object has preferences with respect to the choice of a partner, and the two types of objects are available in equal numbers. The model is applicable to, for instance, the marriage problem, or to the assignment of offices of a company to locations. The existence of a core of the game is demonstrated and a uniqueness condition is given. The maximum number of core allocations is examined when the core is not uniquely determined.
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    marriage game
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    assignment problem
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    core
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